No, unfortunately - my system (Maxima 5.24.0) just hangs on the "integrate"
command and does nothing.
-Alasdair
On Thu, May 9, 2013 at 12:30 PM, Raymond Toy <toy.raymond at gmail.com> wrote:
> >>>>> "Alasdair" == Alasdair McAndrew <amca01 at gmail.com> writes:
>
> Alasdair> If I enter, say:
>
> Alasdair> define(t(x),taylor(f(x),x,a,10));
>
> Alasdair> where f(x) is a symbolic (that is, undefined) function,
> Alasdair> I get an expression full of derivatives, as I
> Alasdair> should. How can I integrate this series term by term?
> Alasdair> Does Maxima have any flags or functions which will
> Alasdair> allow me to integrate a symbolic derivative?
>
> As an example,
>
> (%i10) taylor(f(x),x,a,1);
> (%o10) f(a)+('at('diff(f(x),x,1),x = a))*(x-a)
> (%i11) integrate(%,x,a,a+h);
> (%o11) (h^2*('at('diff(f(x),x,1),x = a))+2*f(a)*h)/2
>
> In 2D, which is easier to read:
>
> !
> 2 d !
> h (-- (f(x))! ) + 2 f(a) h
> dx !
> !x = a
> (%o13) -------------------------------
> 2
>
> Isn't that the correct answer? What exactly were you expecting?
>
> Ray
>
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